What is the limit as x approaches 5 of sqrt(5-x^2) ?

The limit as x approaches 5 of sqrt(5-x^2) is 2sqrt(5)i

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limit as x approaches 5 of sqrt(5-x^2)

x \to 5 lim (5 - x^{2})

25 i

Solution steps

x \to 5 lim (5 - x^{2})

Plug in the value

x = 5

= 5 - 5^{2}

Simplify

5 - 5^{2} : 25 i

= 25 i

\frac{d}{d x} (\frac{2 x ^{2} - 4}{( x + 4 ) ^{2}})

y^{^{'''}} - y^{^{''}} - y^{^{'}} + y = 2 e^{- x} + 3

f (x) = \frac{1}{4 ( 1 + x ^{2} )}, g (x) = \frac{1}{8} x^{2}

\frac{d}{d x} (\frac{2 y}{x ^{2} + y ^{2}})

x \to 45 lim (\frac{x ^{2}}{9} - \frac{5}{x})

What is the limit as x approaches 5 of sqrt(5-x^2) ?
The limit as x approaches 5 of sqrt(5-x^2) is 2sqrt(5)i